5 papers
Tetrahedral -operators, tensor Schur polynomials and -deformed loop elementary symmetric functions
Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa
We study three-dimensional partition functions constructed from the tetrahedral -operator introduced and studied by Bazhanov-Sergeev and Kuniba-Maruyama-Okado. First, we explore…
Bethe roots for periodic TASEP and algebraic curve
Shinsuke Iwao, Kohei Motegi
We present an algebraic method for solving the Bethe ansatz equations for the periodic totally asymmetric exclusion process (TASEP) with an arbitrary number of sites and particles.…
Tetrahedron equation and Schur functions
Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa
The tetrahedron equation introduced by Zamolodchikov is a three-dimensional generalization of the Yang-Baxter equation. Several types of solutions to the tetrahedron equation that…
Algebraic formulas and Geometric derivation of Source Identities
Kohei Motegi, Ryo Ohkawa
Source identities are fundamental identities between multivariable special functions. We give a geometric derivation of rational and trigonometric source identities. We also give a…
Free fermionic probability theory and K-theoretic Schubert calculus
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw
For each of the four particle processes given by Dieker and Warren [arXiv:0707.1843], we show the -step transition kernels are given by the (dual) (weak) refined symmetric Groth…